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Finding the Fourth Proportional to 1,627.63, 2,441.59 and 532.10

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Solution

The fourth proportional to 1,627.63, 2,441.59 and 532.10 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.63 : 2,441.59 = 532.10 : x
  2. Step 2: Convert to fraction form
    1,627.63/2,441.59 = 532.10/x
  3. Step 3: Cross multiply
    1,627.63x = 2,441.59 × 532.10
  4. Step 4: Simplify right side
    1,627.63x = 1,299,177.81
  5. Step 5: Solve for x
    x = 1,299,177.81/1,627.63
  6. Step 6: Final answer
    x = 798.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.